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Finding the Fourth Proportional to 16,002.72, 23,983.92 and 7,675.92

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Solution

The fourth proportional to 16,002.72, 23,983.92 and 7,675.92 is: 11,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.72 : 23,983.92 = 7,675.92 : x
  2. Step 2: Convert to fraction form
    16,002.72/23,983.92 = 7,675.92/x
  3. Step 3: Cross multiply
    16,002.72x = 23,983.92 × 7,675.92
  4. Step 4: Simplify right side
    16,002.72x = 184,098,651.21
  5. Step 5: Solve for x
    x = 184,098,651.21/16,002.72
  6. Step 6: Final answer
    x = 11,504.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.